Question

the ratio of area of two circles is 529 : 676. what is the ratio of their respective perimeters?

Answer 1

Let r1, r2 be the radius of circles.
Given,
$\pi {r1}^{2} :\pi {r2}^{2} = 529:676 \\ so \: \: r1:r2 = \sqrt{529} : \sqrt{676} = 23:26 \\ \\ ratio \: \: of \: \: perimeters = \\ 2\pi r1:2\pi r2 = r1:r2 = 23:26$